5. Find the radius of a cylinder with a volume of 150 in^3 and a height of 10 in.

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

Hi there!

The correct answer is: 2.185 in

Step-by-step explanation:

The formula for the volume of cylinder is: V= Base * Height

where base is π * radius²

So given that information, we can first divide 10 on sides to get πr²= 15

then divide pi on both sides to get 4.7746 then square root both sides to get

r=2.185

You might be interested in

Combine like terms . What is a simpler form of the expression? 2(x/2 -5)-3/2(x+7/4). Please Explain.

Aleks04 [339]

Are you able to expand everything first? from there you would be able to combine line terms. basically if you have 3x+2x it would combine to 5x because they have x in them.

5 0

3 years ago

Read 2 more answers

Im a randomly generated list of numbers from 0 to 6, what is the chance that each number will occur?

Bumek [7]

Answer:

1/7

Step-by-step explanation:

The list of numbers generated is; 0, 1, 2, 3, 4, 5, 6,

There are 7 possible outcomes and each outcome is equally likely. The probability or chance that each number will occur is given by;

number of times the number occurs / 7

In our case, each number occurs only once, so the chance will be;

1/7

4 0

3 years ago

Read 2 more answers

Find the volume of the solid, please

dsp73

Answer:

$V \approx=1436.8$

Step-by-step explanation:

Variables and symbols:

r = radius
V = volume
A = surface area
C = circumference
π = pi = 3.1415926535898
√ = square root

Volume of a sphere in terms of radius:

$V = \frac{4}{3}\pi r^3$ , $V \approx 4.1888r^3$

To calculate the volume of a sphere:

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.

Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.

Solution:

$V=\frac{4}{3} \pi r^{3} =\frac{4}{3} *\pi *7^{3} \approx1436.75504$